460849930101 has 48 divisors (see below), whose sum is σ = 774084480000. Its totient is φ = 261253343520.

The previous prime is 460849930039. The next prime is 460849930103. The reversal of 460849930101 is 101039948064.

460849930101 is a `hidden beast` number, since 4 + 608 + 4 + 9 + 9 + 30 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 460849930101 - 2¹⁰ = 460849929077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460849930103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1402051 + ... + 1699248.

It is an arithmetic number, because the mean of its divisors is an integer number (16126760000).

Almost surely, 2^460849930101 is an apocalyptic number.

It is an amenable number.

460849930101 is a deficient number, since it is larger than the sum of its proper divisors (313234549899).

460849930101 is a wasteful number, since it uses less digits than its factorization.

460849930101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101414 (or 3101411 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 460849930101 in words is "four hundred sixty billion, eight hundred forty-nine million, nine hundred thirty thousand, one hundred one".